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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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742 prompts matching "Structured question: quadratic with roots that differ by a given amount"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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Evaluating (1/2)^-3 without a calculator

I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou

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Index law shortcuts for mental exam questions

I am in SS 1. Quiz me with 3 short Additional Maths questions on quick mental-maths style

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Rationalising a denominator with a surd and integer

I am in SS 1. I'm going to explain rationalising a denominator such as 6 divided by (2 roo

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Surd answers in area and perimeter questions

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a me

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A full WAEC-style surds past question

I am in SS 1. Quiz me with 3 short Additional Maths questions on a complete WAEC/Cambridge

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Logical reasoning with 'and' versus 'or' in sets

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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A three-region overlap problem with unknowns

I am in SS 1. Quiz me with 4 short Additional Maths questions on a Venn diagram word probl

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Common mistakes with set notation

Quiz me with 4 short Additional Maths questions on the most common set notation mistakes S

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Multi-part progression problem with an unknown first term

I am in SS 1. Quiz me with 5 short Additional Maths questions on a multi-part question whe

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WAEC-style past question on coordinate geometry

I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co

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Coordinate geometry combined with simultaneous equations

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a qu

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Factorising by taking out a common factor

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Cross-multiplying to solve an equation with fractions

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Practice: Multiplying a whole number by a surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplying a

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Worked Example: Rationalising a denominator that is a single surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration

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